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Noncommutative Principal Bundles Through Twist Deformation

Aschieri, Paolo , Bieliavsky, Pierre, Pagani, Chiara and Schenkel, Alexander (2017) Noncommutative Principal Bundles Through Twist Deformation. Communications in Mathematical Physics 352 (1), pp. 287-344.

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Other URL: http://doi.org/10.1007/s00220-016-2765-x


Abstract

We construct noncommutative principal bundles deforming principal bundles with a Drinfeld twist (2-cocycle). If the twist is associated with the structure group then we have a deformation of the fibers. If the twist is associated with the automorphism group of the principal bundle, then we obtain noncommutative deformations of the base space as well. Combining the two twist deformations we obtain ...

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Item type:Article
Date:2017
Institutions:Mathematics
Identification Number:
ValueType
10.1007/s00220-016-2765-xDOI
Keywords:HOPF GALOIS EXTENSIONS; QUANTUM GROUPS; CONNECTIONS; ALGEBRAS; GEOMETRY; SPHERES; INSTANTONS; CATEGORIES; BIMODULES; MANIFOLDS;
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Item ID:39073
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